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Phase and Phase-Difference Statistics of Turbulent Thermal Convection in Air

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Part of the book series: Springer Series in Optical Sciences ((SSOS,volume 38))

Abstract

An extensive series of phase measurements using different optical and signal processing techniques was performed on free thermal plumes. These included measurements of probability densities, temporal and spatial correlations and structure functions of absolute phases, phase differences, and phase gradients. One-beam measurements were made with an interferometer using a reference beam, which was passed through a water-cooled tube parallel to the measurement beam. This greatly reduces influences by thermal expansion of the optical setup. Two-beam measurements were carried out with the same interferometer without the cooling tube.

The very small variance for shorter beam distances down to 1 mm required a new π/64-phase counter. For beam distances smaller than 1 mm we replaced the interferometer by a novel Moiré setup which yields spatial phase gradients.

All experiments show a very good agreement, of probability density and moments with the corresponding gamma and K distributions for single-and double-beam measurements, respectively. Hydrodynamic interpretations of these distributions and their parameters can be given.

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References

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© 1983 Springer-Verlag Berlin Heidelberg

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Merz, J., Schätzel, K. (1983). Phase and Phase-Difference Statistics of Turbulent Thermal Convection in Air. In: Schulz-DuBois, E.O. (eds) Photon Correlation Techniques in Fluid Mechanics. Springer Series in Optical Sciences, vol 38. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39493-8_27

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  • DOI: https://doi.org/10.1007/978-3-540-39493-8_27

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-13529-7

  • Online ISBN: 978-3-540-39493-8

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